Implementing a Function Using Look-Up Tables

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Vishera
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Homework Statement



BoCJQE5.png


Homework Equations

The Attempt at a Solution



I am unsure how to proceed from here. Here is what I understand LUTs to look like:

5CupptN.png


Here is my attempt so far:
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XzEQkRy.jpg

ngcZZlV.jpg
 

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Do LUTs need to look exactly like this below? Or can LUTs be any sort of box that has 2 inputs and 1 output?

proxy.php?image=http%3A%2F%2Fi.imgur.com%2F5CupptN.png


Also, do LUTs need those pink squares? i.e. stored 1's and 0's inside the LUT as memory.